Solve 1/2+1/8+1/4

$$\frac{ 1 }{ 2 } + \frac{ 1 }{ 8 } + \frac{ 1 }{ 4 }$$

Evaluate

$$\frac{7}{8}=0.875$$

Solution Steps

Least common multiple of 2 and 8 is 8. Convert \frac{1}{2} and \frac{1}{8} to fractions with denominator 8.

$$\frac{4}{8}+\frac{1}{8}+\frac{1}{4}$$

Since \frac{4}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.

$$\frac{4+1}{8}+\frac{1}{4}$$

Add 4 and 1 to get 5.

$$\frac{5}{8}+\frac{1}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{5}{8} and \frac{1}{4} to fractions with denominator 8.

$$\frac{5}{8}+\frac{2}{8}$$

Since \frac{5}{8} and \frac{2}{8} have the same denominator, add them by adding their numerators.

$$\frac{5+2}{8}$$

Add 5 and 2 to get 7.

$$\frac{7}{8}$$

Factor

$$\frac{7}{2 ^ {3}} = 0.875$$